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Mathematics
Mathematics
Problem
For a continuous function
f
f
f
on
[
0
,
6
]
[0,6]
[
0
,
6
]
, let
∫
0
2
f
(
x
)
d
x
=
3
\displaystyle \int_{0}^{2} f(x)\,dx = 3
∫
0
2
f
(
x
)
d
x
=
3
, \;
∫
2
4
f
(
x
)
d
x
=
−
1
\displaystyle \int_{2}^{4} f(x)\,dx = -1
∫
2
4
f
(
x
)
d
x
=
−
1
, and \;
∫
0
6
f
(
x
)
d
x
=
k
\displaystyle \int_{0}^{6} f(x)\,dx = k
∫
0
6
f
(
x
)
d
x
=
k
. Find
∫
4
6
f
(
x
)
d
x
\displaystyle \int_{4}^{6} f(x)\,dx
∫
4
6
f
(
x
)
d
x
in terms of
k
k
k
. a)
k
+
2
k+2
k
+
2
b)
k
−
2
k-2
k
−
2
c)
2
−
k
2-k
2
−
k
d)
k
−
4
k-4
k
−
4
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